In a medium bowl, stir together the sugar, milk, oil, egg, and vanilla.
In a separate bowl, combine the flour, baking powder, and salt.
Add the dry ingredients to the wet ingredients and stir until just combined.
In a small bowl, toss together the strawberries and the 2 tablespoons of flour to coat the strawberries.
Fold the floured strawberries gently into the batter.
Pour the bread batter into a greased 9×5-inch bread pan.
Bake for 50 to 55 minutes on the middle rack of your oven. A toothpick inserted in the center of the bread should come out clean.
Allow the bread to cool for 10 minutes, then remove the bread to a wire rack to cool completely.
To make the glaze, combine the powdered sugar, melted butter, diced strawberries, milk, and extract in a small bowl. Mix until it is smooth.
Once the bread is cool, spread the glaze on top of the bread. Slice and serve.
Notes
Make sure to let cool fully before glazing.
Place the bread on a wire rack before pouring the glaze on top so that any excess glaze will run through the rack rather than leaving a puddle around your bread.
Be very gentle folding in the strawberries to minimize streaking in the bread or crushing the berries.
Coating the strawberries in flour will help keep them suspended in the bread while baking, so you will have a nice distribution throughout.